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Finding the Fourth Proportional to 205,244.20, 307,210.20 and 146,195.20

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Solution

The fourth proportional to 205,244.20, 307,210.20 and 146,195.20 is: 218,825.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,244.20 : 307,210.20 = 146,195.20 : x
  2. Step 2: Convert to fraction form
    205,244.20/307,210.20 = 146,195.20/x
  3. Step 3: Cross multiply
    205,244.20x = 307,210.20 × 146,195.20
  4. Step 4: Simplify right side
    205,244.20x = 44,912,656,631.04
  5. Step 5: Solve for x
    x = 44,912,656,631.04/205,244.20
  6. Step 6: Final answer
    x = 218,825.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.